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Finding the Fourth Proportional to 145,787.76, 217,882.87 and 106,427.76

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Solution

The fourth proportional to 145,787.76, 217,882.87 and 106,427.76 is: 159,058.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,787.76 : 217,882.87 = 106,427.76 : x
  2. Step 2: Convert to fraction form
    145,787.76/217,882.87 = 106,427.76/x
  3. Step 3: Cross multiply
    145,787.76x = 217,882.87 × 106,427.76
  4. Step 4: Simplify right side
    145,787.76x = 23,188,785,796.47
  5. Step 5: Solve for x
    x = 23,188,785,796.47/145,787.76
  6. Step 6: Final answer
    x = 159,058.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.